Open Ball of Point Inside Open Ball/Illustration

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Illustration of Open Ball of Point Inside Open Ball

This diagram illustrates the proof of Open Ball of Point Inside Open Ball in $M = \struct {\R^2, d_2}$:

NeighborhoodInNeighborhood.png

In $\R^2$, we can draw a circle of radius $\delta$ whose center is $y$ lying entirely within the larger circle of radius $\epsilon$ whose center is $x$ .


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